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Finding the Third Proportional to 262,469,820 and 574,371,672

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Solution

The third proportional to 262,469,820 and 574,371,672 is: 1,256,917,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,469,820 : 574,371,672 = 574,371,672 : x
  2. Step 2: Convert to fraction form
    262,469,820/574,371,672 = 574,371,672/x
  3. Step 3: Cross multiply
    262,469,820x = 574,371,672 × 574,371,672
  4. Step 4: Simplify right side
    262,469,820x = 329,902,817,596,075,584
  5. Step 5: Solve for x
    x = 329,902,817,596,075,584/262,469,820
  6. Step 6: Final answer
    x = 1,256,917,148.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.